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Finding the Third Proportional to 496,608,356 and 1,170,643,994

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Solution

The third proportional to 496,608,356 and 1,170,643,994 is: 2,759,533,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,608,356 : 1,170,643,994 = 1,170,643,994 : x
  2. Step 2: Convert to fraction form
    496,608,356/1,170,643,994 = 1,170,643,994/x
  3. Step 3: Cross multiply
    496,608,356x = 1,170,643,994 × 1,170,643,994
  4. Step 4: Simplify right side
    496,608,356x = 1,370,407,360,688,272,128
  5. Step 5: Solve for x
    x = 1,370,407,360,688,272,128/496,608,356
  6. Step 6: Final answer
    x = 2,759,533,431.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.